At the UN Security Council meeting, Britain's Deputy UN Ambassador Jonathan Allen said hundreds of his countrymen had potentially been exposed to the agent.
The British Council said it was "profoundly disappointed" at its pending closure.
The Russian statement said the government could take further measures if Britain makes any more "unfriendly" moves.
Skripal, a retired Russian military intelligence colonel, was convicted by a Moscow military court in 2006 of "high treason" for passing secrets to Britain's Secret Intelligence Service. "Israel views the incident as very serious and strongly condemns it", the statement said.
Skripal, a former colonel in the GRU who betrayed dozens of Russian agents to British intelligence, and his daughter have been critically ill since March 4, when they were found unconscious on a bench. They remain in critical condition in hospital.
Sobchak broke down in tears at Russia's televised presidential debate Wednesday night, where she was the only candidate to criticize Putin and was frequently interrupted by others.
Russia, which denies any involvement in the incident, condemned May's decision as unacceptable and vowed a swift response.
Russian Federation is holding a presidential election of its own on Sunday, which Putin is widely expected to win.
British Ambassador Laurie Bristow is expected at the Russian Foreign Ministry late Saturday morning.. He said Britain must defend itself.
Russian government hackers since at least March 2016 "have also targeted US government entities and multiple USA critical infrastructure sectors, including the energy, nuclear, commercial facilities, water, aviation, and critical manufacturing sectors", a Treasury Department statement said.
Mr Bristow, speaking to reporters after being summoned, said the United Kingdom would "always do what is necessary to defend ourselves, our allies and our values against an attack of this sort".
In February 2017, Montenegro asked Britain for technical help to defend itself against cyber attacks after suffering several online assaults in the wake of the alleged Russian-backed coup plot.
In a joint statement, they demanded Moscow "address all questions" related to the attack against Skripal, which they said amounted to a "breach of global law".
After the brazen poisoning of a former spy, British Prime Minister Theresa May quickly pinned the blame on Russian Federation.
Writing in the Washington Post, Mr Johnson also said the poison used in the Salisbury spy attack was specifically chosen to send a message to political dissenters challenging Russian president Vladimir Putin.
Kremlin spokesman Dmitry Peskov, speaking to CNN, slammed that remark.
But he warned against a large-scale cyber attack against Russian Federation, which he said would "play to Putin's narrative and probably wouldn't achieve much except damage all around". "Any reference or mentioning of our President is nothing else but shocking and unpardonable diplomatic misconduct".
On Friday, Russia said it could hit back at Britain at "any minute" with its own raft of punitive measures.
Counter-terrorism police have also renewed their appeal for sightings of Mr Skripal's burgundy BMW 320D saloon vehicle, registration HD09 WAO, in Salisbury on the morning of March 4. Officers also are trawling through some 4,000 hours of CCTV footage, he said.
Counter-terrorism police, meanwhile, launched an investigation into the death of Russian exile Nikolai Glushkov, who was a close friend of Vladimir Putin critic Boris Berezovsky.
Russian investigators said on Friday they had opened a criminal investigation into the attempted murder of Yulia Skripal and a murder investigation into Glushkov's death.
The head of Russia's electoral commission said she hopes that Golos finds a new site. The Kremlin has always denied the accusation. Stent said that while it's unlikely the US would levy new sanctions on Russian Federation over an incident on British soil, "you would still expect solidarity" from Washington.
He was granted refuge in the UK after a high-profile spy exchange between the United States and Russian Federation in 2010.